30461543200 has 144 divisors (see below), whose sum is σ = 81276610464. Its totient is φ = 11056179200.

The previous prime is 30461543153. The next prime is 30461543207. The reversal of 30461543200 is 234516403.

It is a super-2 number, since 2×30461543200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30461543207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5162652 + ... + 5168548.

It is an arithmetic number, because the mean of its divisors is an integer number (564420906).

Almost surely, 2^30461543200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30461543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40638305232).

30461543200 is an abundant number, since it is smaller than the sum of its proper divisors (50815067264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30461543200 is a wasteful number, since it uses less digits than its factorization.

30461543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6502 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 30461543200 in words is "thirty billion, four hundred sixty-one million, five hundred forty-three thousand, two hundred".